Question

Find the extreme point(s) of the function f(x) = 0.25^4 + 3x^3 -18x^2 +10 and classify them

Answer 1

local extrema or global?

Answer 2

Not quite sure

Answer 3

its a quarctic...probably spelled it wrong... that will look like some form of a "W"

Answer 4

you know how to find derivatives?

Answer 5

Yes

Answer 6

thats all this is, get the 1st derivative and set it to zero

Answer 7

Thanks much!

Answer 8

f'(x) = x^3 + 9x^2 -36x

Answer 9

f'(x) = x(x^2 +9x -36) = 0 at x=0 is an obvious one..and it should be a MAX

Answer 10

3,12

(x+12)(x-3)x = -12 and x = 3 are 2 more

Answer 11

how do you know its a max?, x=0 is a max